結果

問題 No.2173 Nightcord
コンテスト
ユーザー tko919
提出日時 2022-12-07 22:08:07
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 10,457 bytes
コンパイル時間 2,299 ms
コンパイル使用メモリ 209,632 KB
最終ジャッジ日時 2025-02-09 06:19:12
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 3
other AC * 41 WA * 7 TLE * 6
権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 1 "library/Template/template.hpp"
#include <bits/stdc++.h>
using namespace std;

#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(v) (v).begin(),(v).end()
using ll=long long int;
const int inf = 0x3fffffff;
const ll INF = 0x1fffffffffffffff;
template<typename T>inline bool chmax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
template<typename T>inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
#line 2 "library/Utility/fastio.hpp"
#include <unistd.h>

class FastIO{
    static constexpr int L=1<<16;
    char rdbuf[L];
    int rdLeft=0,rdRight=0;
    inline void reload(){
        int len=rdRight-rdLeft;
        memmove(rdbuf,rdbuf+rdLeft,len);
        rdLeft=0,rdRight=len;
        rdRight+=fread(rdbuf+len,1,L-len,stdin);
    }
    inline bool skip(){
        for(;;){
            while(rdLeft!=rdRight and rdbuf[rdLeft]<=' ')rdLeft++;
            if(rdLeft==rdRight){
                reload();
                if(rdLeft==rdRight)return false;
            }
            else break;
        }
        return true;
    }
    template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline bool _read(T& x){
        if(!skip())return false;
        if(rdLeft+20>=rdRight)reload();
        bool neg=false;
        if(rdbuf[rdLeft]=='-'){
            neg=true;
            rdLeft++;
        }
        x=0;
        while(rdbuf[rdLeft]>='0' and rdLeft<rdRight){
            x=x*10+(neg?-(rdbuf[rdLeft++]^48):(rdbuf[rdLeft++]^48));
        }
        return true;
    }
    template<typename T,enable_if_t<is_floating_point<T>::value,int> =0>inline bool _read(T& x){
        if(!skip())return false;
        if(rdLeft+20>=rdRight)reload();
        bool neg=false;
        if(rdbuf[rdLeft]=='-'){
            neg=true;
            rdLeft++;
        }
        x=0;
        while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){
            x=x*10+(rdbuf[rdLeft++]^48);
        }
        if(rdbuf[rdLeft]!='.')return true;
        rdLeft++;
        T base=.1;
        while(rdbuf[rdLeft]>='0' and rdbuf[rdLeft]<='9' and rdLeft<rdRight){
            x+=base*(rdbuf[rdLeft++]^48);
            base*=.1;
        }
        if(neg)x=-x;
        return true;
    }
    inline bool _read(char& x){
        if(!skip())return false;
        if(rdLeft+1>=rdRight)reload();
        x=rdbuf[rdLeft++];
        return true;
    }
    inline bool _read(string& x){
        if(!skip())return false;
        for(;;){
            int pos=rdLeft;
            while(pos<rdRight and rdbuf[pos]>' ')pos++;
            x.append(rdbuf+rdLeft,pos-rdLeft);
            if(rdLeft==pos)break;
            rdLeft=pos;
            if(rdLeft==rdRight)reload();
            else break;
        }
        return true;
    }
    template<typename T>inline bool _read(vector<T>& v){
        for(auto& x:v){
            if(!_read(x))return false;
        }
        return true;
    }

    char wtbuf[L],tmp[50];
    int wtRight=0;
    inline void flush(){
        fwrite(wtbuf,1,wtRight,stdout);
        wtRight=0;
    }
    inline void _write(const char& x){
        if(wtRight>L-32)flush();
        wtbuf[wtRight++]=x;
    }
    inline void _write(const string& x){
        for(auto& c:x)_write(c);
    }
    template<typename T,enable_if_t<is_integral<T>::value,int> =0>inline void _write(T x){
        if(wtRight>L-32)flush();
        if(x==0){
            _write('0');
            return;
        }
        else if(x<0){
            _write('-');
            if (__builtin_expect(x == std::numeric_limits<T>::min(), 0)) {
                switch (sizeof(x)) {
                case 2: _write("32768"); return;
                case 4: _write("2147483648"); return;
                case 8: _write("9223372036854775808"); return;
                }
            }
            x=-x;
        }
        int pos=0;
        while(x!=0){
            tmp[pos++]=char((x%10)|48);
            x/=10;
        }
        rep(i,0,pos)wtbuf[wtRight+i]=tmp[pos-1-i];
        wtRight+=pos;
    }
    template<typename T>inline void _write(const vector<T>& v){
        rep(i,0,v.size()){
            if(i)_write(' ');
            _write(v[i]);
        }
    }
public:
    FastIO(){}
    ~FastIO(){flush();}
    inline void read(){}
    template <typename Head, typename... Tail>inline void read(Head& head,Tail&... tail){
        assert(_read(head));
        read(tail...); 
    }
    template<bool ln=true,bool space=false>inline void write(){if(ln)_write('\n');}
    template <bool ln=true,bool space=false,typename Head, typename... Tail>inline void write(const Head& head,const Tail&... tail){
        if(space)_write(' ');
        _write(head);
        write<ln,true>(tail...); 
    }
};

/**
 * @brief Fast IO
 */
#line 3 "sol.cpp"

#line 2 "library/Geometry/intCoord.hpp"
 
struct Point{
    ll X,Y;
    Point():X(0),Y(0){}
    Point(ll _X,ll _Y):X(_X),Y(_Y){}
    int pos()const{
        if(Y<0)return -1;
        if(Y==0 and X>=0)return 0;
        return 1;
    }
    Point& operator+=(const Point& p){
        X+=p.X;
        Y+=p.Y;
        return *this;
    }
    Point& operator-=(const Point& p){
        X-=p.X;
        Y-=p.Y;
        return *this;
    }
    Point& operator*=(const ll& t){
        X*=t,Y*=t;
        return *this;
    }
    Point& operator*=(const Point& p){
        ll NX=X*p.X-Y*p.Y,NY=X*p.Y+Y*p.X;
        X=NX,Y=NY;
        return *this;
    }
    Point operator+(const Point &p) const { return Point(*this) += p; }
    Point operator-(const Point &p) const { return Point(*this) -= p; }
    Point operator*(const ll &p) const { return Point(*this) *= p; }
    Point operator*(const Point &p) const { return Point(*this) *= p; }
    Point operator-() const { return Point(-X, -Y); }
    bool operator==(const Point &p) const { return X == p.X && Y == p.Y; }
    bool operator!=(const Point &p) const { return X != p.X || Y != p.Y; }
    bool operator<(const Point &p) const { return X == p.X ? Y < p.Y : X < p.X; }
};
struct Line{
    Point a,b;
    Line(){}
    Line(Point _a,Point _b):a(_a),b(_b){}
};
struct Segment:Line{
    Segment(){}
    Segment(Point _a,Point _b):Line(_a,_b){}
};
using Poly=vector<Point>;
 
ll dot(const Point &a, const Point &b) { return a.X * b.X + a.Y * b.Y; }
ll cross(const Point &a, const Point &b) { return a.X * b.Y - a.Y * b.X; }
ll norm(const Point& a){return a.X*a.X+a.Y*a.Y;}
bool cmp(const Point& a,const Point& b){
    if(a.pos()!=b.pos())return a.pos()<b.pos();
    return a.Y*b.X<a.X*b.Y;
}
 
int ccw(const Point& a,Point b,Point c){
    b-=a; c-=a;
    ll C=cross(b,c);
    if(C>0)return 1; //ccw
    if(C<0)return -1; //cw
    if(dot(b,c)<0)return 2; //c,a,b
    if(dot(b,b)<dot(c,c))return -2; //a,b,c
    return 0; //a,c,b
}
 
 
bool isOrthogonal(const Line& a,const Line& b){
    return dot(a.b-a.a,b.b-b.a)==0;
}
bool isParallel(const Line& a,const Line& b){
    return cross(a.b-a.a,b.b-b.a)==0;
}
bool isIntersect(const Segment& a,const Segment& b){
    return ccw(a.a,a.b,b.a)*ccw(a.a,a.b,b.b)<=0 and
        ccw(b.a,b.b,a.a)*ccw(b.a,b.b,a.b)<=0;
}
 
int isContained(const Poly& a,const Point& b){
    bool res=0;
    int n=a.size();
    rep(i,0,n){
        Point p=a[i]-b,q=a[(i+1)%n]-b;
        if(p.Y>q.Y)swap(p,q);
        if(p.Y<=0 and q.Y>0 and cross(p,q)>0)res^=1;
        if(cross(p,q)==0 and dot(p,q)<=0)return 1;
    }
    return (res?2:0);
}
Poly ConvexHull(Poly& a){
    int n=a.size(),k=0;
    if(n<=2)return a;
    sort(ALL(a),[](const Point& p,const Point& q){
        return (p.Y==q.Y?p.X<q.X:p.Y<q.Y);
    });
    Poly res(n*2);
    for(int i=0;i<n;res[k++]=a[i++]){
        while(k>=2 and cross(res[k-1]-res[k-2],a[i]-res[k-1])<0)k--;
    }
    for(int i=n-2,t=k+1;i>=0;res[k++]=a[i--]){
        while(k>=t and cross(res[k-1]-res[k-2],a[i]-res[k-1])<0)k--;
    }
    res.resize(k-1); return res;
}
 
/**
 * @brief Geometry(integer Coordinates)
 */
#line 2 "library/Utility/random.hpp"

struct Random{
    random_device rnd;
    unsigned x=123456789,y=362436069,z=521288629,w=rnd();
    Random(){}
    unsigned get(){
        unsigned t=x^(x<<11);
        x=y,y=z,z=w;
        return w=(w^(w<<19))^(t^(t>>8));
    }
    unsigned get(unsigned L){
        return get()%(L+1);
    }
    template<typename T>T get(T L,T R){
        return get(R-L)+L;
    }
    double uniform(){
        return double(get())/UINT_MAX;
    }
    string str(int n){
        string ret;
        rep(i,0,n)ret+=get('a','z');
        return ret;
    }
    template<typename Iter>void shuffle(Iter first,Iter last){
        if(first==last)return;
        int len=1;
        for(auto it=first+1;it!=last;it++){
            len++;
            int j=get(0,len-1);
            if(j!=len-1)iter_swap(it,first+j);
        }
    }
    template<typename T>vector<T> select(int n,T L,T R){
        set<T> ret;
        while(ret.size()<n)ret.insert(get(L,R));
        return {ALL(ret)};
    }
};

/**
 * @brief Random
 */
#line 6 "sol.cpp"
Random gen;

FastIO io;
int main(){
    int N,K;
    io.read(N,K);
    vector<int> X(N),Y(N),C(N);
    rep(i,0,N)io.read(X[i],Y[i],C[i]);

    auto get=[&](auto& get,int k)->vector<int>{
        if(k>=N/2){
            auto out=get(get,N-k);
            vector<int> done(N);
            rep(i,0,N-k)done[out[i]]=1;
            vector<int> ret;
            rep(i,0,N)if(!done[i])ret.push_back(i);
            return ret;
        }        
        else{
            vector<int> ret,done(N);
            rep(_,0,k){
                int x;
                for(;;){
                    x=gen.get(0,N-1);
                    if(!done[x])break;
                }
                done[x]=1;
                ret.push_back(x);
            }
            return ret;
        }
    };

    double start=clock();
    while((double)(clock()-start)/CLOCKS_PER_SEC<2.5){
        auto sample=get(get,K);
        vector<Point> R,B;
        for(auto& i:sample){
            if(C[i]==1)R.push_back(Point(X[i],Y[i]));
            else B.push_back(Point(X[i],Y[i]));
        }
        R=ConvexHull(R);
        B=ConvexHull(B);

        rep(i,0,R.size())if(isContained(B,R[i])!=0){
            io.write("Yes");
            return 0;
        }
        rep(i,0,B.size())if(isContained(R,B[i])!=0){
            io.write("Yes");
            return 0;
        }
        rep(i,0,R.size())rep(j,0,B.size())if(isIntersect(Segment(R[i],R[(i+1)%R.size()]),Segment(B[j],B[(j+1)%B.size()]))){
            io.write("Yes");
            return 0;
        }
    }
    io.write("No");
    return 0;
}
0